SINGULAR POINTS OF PLANE CURVES GENERATED BY PERIOD DOUBLING BIFURCATION POINTS AND A METHOD FOR COMPUTING THEM

被引：3

作者：

Yamamoto, Norio ^{[1
]}

机构：

[1] Kyushu Inst Technol, Fac Comp Sci & Syst Engn, Dept Artificial Intelligence, Iizuka, Fukuoka 820, Japan

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 04期

关键词：

D O I：

10.1142/S0218127491000580

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with nodal points, isolated points and cusp points (PD) appearing on a locus of period-doubling bifurcation points and the accurate location of them. Such points can be observed in periodic differential systems (e.g., Duffing's equation) in nonlinear oscillations. In a suitable two-dimensional parameter-plane, such points can be formulated as double (singular) points of plane curves defined by a bifurcation equation, and a method for computing them is proposed.

引用

页码：795 / 802

页数：8

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